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Finding the Third Proportional to 35,420 and 77,071

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Solution

The third proportional to 35,420 and 77,071 is: 167,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420 : 77,071 = 77,071 : x
  2. Step 2: Convert to fraction form
    35,420/77,071 = 77,071/x
  3. Step 3: Cross multiply
    35,420x = 77,071 × 77,071
  4. Step 4: Simplify right side
    35,420x = 5,939,939,041
  5. Step 5: Solve for x
    x = 5,939,939,041/35,420
  6. Step 6: Final answer
    x = 167,700.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.